Category: 11 HL Homework

Complete the following exercises before our next class (you may find 5a and 6a useful when answering the other parts of those questions, but if you can answer b, c, and d without doing part a, that’s fine too).

Our next class is the test, so you should have the questions below completed for our lesson on Thursday next week.

Exercise 10A 1abcdghim, 2abc, 3abcdfgh, 4abc
Exercise 10B 1, 5, 7, 8, 10, 13

Work on the following questions for tomorrow’s class. You don’t need to complete all of these, but try to complete at least one from each section.

Complete the following questions for our next class.

Exercise 9B.1 questions 2b and 3b

Here is a template you can use for proof by induction. (Note that the template is set up for a proof that involves a claim concerning all natural numbers. If the claim concerns, for example, all positive integers, you need to adjust the base case and other remarks accordingly.)

After trying question Exercise 8G question 14, have a look at the quotation from Wittgenstein’s Tractatus Logico-Philosophicus.

With regard to the existence of \(n\) atomic facts there are \(K_n=\sum_{r=0}^n \left(\begin{array}{c}n\\r\end{array}\right)\) possibilities.

Show that Wittgenstein could equally have written “…there are \(K_n=2^n\) possibilities.”

Complete the following questions before tomorrow’s class.

Exercise 8G questions 1, 2, 3, 4, 6ab, 10, 15

Here is a (fairly long!) list of questions to work on before our next class.

You don’t need to complete all of these (we’ll continue with this material next class), but make sure you try at least one question from each section.

Complete the following questions for our next lesson.

Exercise 6F.3, question 1ace, 2ace, 3acg, and 7.

The questions below involve applications of the Fundamental Theorem of Algebra, and/or the other theorems we’ve now covered. Have these completed for our next class.

Page 193 question 3
Page 195 questions 3, 4
Page 196 questions 2, 4
Page 198 questions 1, 2, 5
Page 200 questions 2, 3, 6

Complete the following questions for our next class.